73125588552137 has 16 divisors (see below), whose sum is σ = 79919730532224. Its totient is φ = 66355949088000.

The previous prime is 73125588552119. The next prime is 73125588552161.

73125588552137 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 73125588552137 - 2³⁶ = 73056869075401 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 73125588552137.

It is not an unprimeable number, because it can be changed into a prime (73125582552137) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10701812 + ... + 16148682.

It is an arithmetic number, because the mean of its divisors is an integer number (4994983158264).

Almost surely, 2^{73125588552137} is an apocalyptic number.

It is an amenable number.

73125588552137 is a deficient number, since it is larger than the sum of its proper divisors (6794141980087).

73125588552137 is a wasteful number, since it uses less digits than its factorization.

73125588552137 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5449120.

The product of its digits is 70560000, while the sum is 62.

The spelling of 73125588552137 in words is "seventy-three trillion, one hundred twenty-five billion, five hundred eighty-eight million, five hundred fifty-two thousand, one hundred thirty-seven".